Matrix Characterization of a Type of Disjoin Preserving Operators on Classical Banach Lattices

The characterization of disjoint preserving operators fromRntoRmis presented by means of the matrix with the property that there is at most one nonzero element in every row. And this result is generalized to the characterizations of bounded disjoint preserving operators from classical Banach latticesc0andlp(1≤p<∞)tol∞,corc0. In addition, the matrix characteristic of bounded disjoint preserving operators on Banach lattices with the disjoint Schauder basis is discussed similarly.